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Mathematical Treasure: Appell and Goursat’s Analysis

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

Paul Appell (1855-1930) was a French analyst and geometer. In 1895, he and another French analyst, Édouard Goursat (1858-1936), published Théorie des fonctions algébriques et de leurs intégrales: étude des fonctions analytiques sur une surface de Riemann (Theory of Algebraic Functions and Their Integrals: Study of Analytic Functions on Riemann Surfaces). This book provides insights into mathematical research concerns of this period.

Title page of Théorie des fonctions algébriques by Appell and Goursat, 1895

The introductory section of the text reviews important definitions and theorems concerning functions of a complex variable.

Page six of the Introduction to Théorie des fonctions algébriques by Appell and Goursat, 1895

Page seven of the Introduction to Théorie des fonctions algébriques by Appell and Goursat, 1895

Page eight of the Introduction to Théorie des fonctions algébriques by Appell and Goursat, 1895

These images were obtained through the courtesy of the University of California’s Digital Library. The book may be viewed in its entirety in the Internet Archive.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Appell and Goursat’s Analysis," Convergence (March 2018)

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